12586797409032 has 2048 divisors, whose sum is σ = 48771366912000. Its totient is φ = 2909934720000.

The previous prime is 12586797409031. The next prime is 12586797409033. The reversal of 12586797409032 is 23090479768521.

12586797409032 is a `hidden beast` number, since 1 + 2 + 58 + 67 + 97 + 409 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (12586797409031) and next prime (12586797409033).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (12586797409031) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 83356274157 + ... + 83356274307.

It is an arithmetic number, because the mean of its divisors is an integer number (23814144000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12586797409032 = 25173594818064, but 3⋅12586797409032 = 37760392227096 is not.

Almost surely, 2^{12586797409032} is an apocalyptic number.

12586797409032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12586797409032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24385683456000).

12586797409032 is an abundant number, since it is smaller than the sum of its proper divisors (36184569502968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12586797409032 is a wasteful number, since it uses less digits than its factorization.

12586797409032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 12586797409032 in words is "twelve trillion, five hundred eighty-six billion, seven hundred ninety-seven million, four hundred nine thousand, thirty-two".